Answer:
The length of the person’s shadow is 5.7ft
Explanation:
Length of the flagpole =a= 35ft
Length of the shadow of the flagpole= b=50ft
Length of the person=c= 4ft
Suppose the length of the person’s shadow is=d
According to the rules of trigonometry
[tex]\frac{\text { Length of the flagpole }}{\text { Length of the shadow of the flagpole }}=\frac{\text { Length of the person }}{\text { Length of the person's shadow }}[/tex]
[tex]\frac{a}{b}=\frac{c}{d}[/tex]
[tex]\frac{35}{50}=\frac{4}{d}[/tex]
35d=200
d=[tex]\frac{200}{35}[/tex]
d=5.7ft
Hence, The length of the person’s shadow is 5.7ft.
